Details

analyze75.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

sample25.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	8×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 21.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.8b	(sqrt (+ (* x x) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (* x x) y)
6.0ms	(sqrt (+ (* x x) y))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x x) y)
9.0ms	(sqrt (+ (* x x) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	139	151
1	485	141
2	1555	139
3	5002	138

prune46.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ y x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* 1/2 (/ y x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 1/2 (/ y x))

simplify90.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	164	128
1	727	118
2	2952	118
3	5001	118

prune34.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* -1/2 (/ y x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* -1/2 (/ y x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* -1/2 (/ y x))

simplify66.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	164	128
1	727	118
2	2950	118
3	5001	118

prune32.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	35	3	38

Merged error: 0b

Counts

38 → 3

regimes203.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.4b

bsearch98.0ms

Steps

Iters	Range		Point
11	5.256480246511434e+127	2.3103169426715584e+148	3.473385101705896e+131
10	-2.4583487033051784e+154	-2.944635605759508e+143	-1.340717776387313e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

analyze80.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

sample366.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
4.0ms	162×	body	80	nan

Details

analyze75.0ms

sample25.0ms

simplify5.0ms

prune5.0ms

localize9.0ms

rewrite14.0ms

series15.0ms

simplify52.0ms

prune46.0ms

localize5.0ms

rewrite8.0ms

series3.0ms

simplify90.0ms

prune34.0ms

localize5.0ms

rewrite8.0ms

series3.0ms

simplify66.0ms

prune32.0ms

regimes203.0ms

bsearch98.0ms

simplify2.0ms

end0.0ms

analyze80.0ms

sample366.0ms

Profiling